02703nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001300153072001600166072002300182072001500205100008000220245011900300250001800419264007300437300006400510336002600574337002600600338003600626347002400662520114800686650002901834650002501863650002601888650003101914650002701945650002601972650005701998710003402055773002602089776003602115776003602151776003602187856004602223978-3-031-49776-6DE-He21320251030111438.0cr nn 008mamaa240222s2024    sz |    s    |||| 0|eng d  a97830314977667 a10.1007/978-3-031-49776-62doi 4aQA8-10.4 7aPBB2bicssc 7aMAT0150002bisacsh 7aPBB2thema1 aKrieger, Martin H.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aPrimes and Particlesh[electronic resource] :bMathematics, Mathematical Physics, Physics /cby Martin H. Krieger.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXVII, 102 p. 9 illus., 4 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda  aMany philosophers, physicists, and mathematicians have wondered about the remarkable relationship between mathematics with its abstract, pure, independent structures on one side, and the wilderness of natural phenomena on the other. Famously, Wigner found the "effectiveness" of mathematics in defining and supporting physical theories to be unreasonable, for how incredibly well it worked. Why, in fact, should these mathematical structures be so well-fitting, and even heuristic in the scientific exploration and discovery of nature? This book argues that the effectiveness of mathematics in physics is reasonable. The author builds on useful analogies of prime numbers and elementary particles, elementary structure kinship and the structure of systems of particles, spectra and symmetries, and for example, mathematical limits and physical situations. The two-dimensional Ising model of a permanent magnet and the proofs of the stability of everyday matter exemplify sucheffectiveness, and the power of rigorous mathematical physics. Newton is our original model, with Galileo earlier suggesting that mathematics is the language of Nature. 0aMathematicsxPhilosophy. 0aPhysicsxPhilosophy. 0aMathematical physics.14aPhilosophy of Mathematics.24aPhilosophy of Physics.24aMathematical Physics.24aTheoretical, Mathematical and Computational Physics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303149775908iPrinted edition:z978303149777308iPrinted edition:z978303149778040uhttps://doi.org/10.1007/978-3-031-49776-6